Early Fraction Learning

Front Matter....Pages i-xvii
Introduction....Pages 1-8
Pre-fraction Concepts of Preschoolers....Pages 9-26
Dimensions of Young Children’s Conceptions of the Fraction One Half....Pages 27-53
The Social Origins of Pre-fraction Knowledge in Three Year Olds....Pages 55-72
Higher Order Thinking in Young Children’s Engagements with a Fraction Machine....Pages 73-90
Fractions as Operators and as Cloning Machines....Pages 91-101
Preschoolers’ Knowledge of Counting and Sharing in Discrete Quantity Settings....Pages 103-129
Preschoolers’ Spontaneous Partitioning of Discrete Items....Pages 131-136
Cognitive Issues about Dealing....Pages 137-158
Sharing by Dealing as Problem Solving....Pages 159-170
Cognitive Research on Early Fraction Learning Applied to Classrooms: Two Experiments....Pages 171-198
The Interaction of Thought, Words, and Deeds in Children’s Early Fraction Learning....Pages 199-207
On Clinical Methods for Studying Young Children’s Mathematics....Pages 209-223
A Fraction of Epistemology....Pages 225-236